Title of article
Topological and functional analytic properties of the compact--open topology on
Author/Authors
Jindal، نويسنده , , V. and Kundu، نويسنده , , S.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2014
Pages
13
From page
1
To page
13
Abstract
In this paper, we study extensively the compact- G δ -open topology on the set C ( X ) of all real-valued continuous functions on a Tychonoff space X. In particular, we study the induced map, submetrizability, completeness properties, countability properties, and nuclear and reflexive properties of the compact- G δ -open topology on C ( X ) .
Keywords
?ech-complete , Partition-complete , Second countable , Reflexive , Montel space , Semi-reflexive , G ? -set , Sieve-complete , Submetrizability , Nuclear space , Completely metrizable , separability , Uniform completeness
Journal title
Topology and its Applications
Serial Year
2014
Journal title
Topology and its Applications
Record number
1584317
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